Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:12:19.445891Z
Paper Citation Record · LEDGER
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes
As of 14 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.06212.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact2
- verified fuzzy7
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 51cc99e0-3cef-44e7-80bd-452e64256846 · outbound
This paper cites Topological methods for the analysis of high dimensional data sets and 3d object recognition.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Topological methods for the analysis of high dimensional data sets and 3d object recognition
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:20.627971Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a539e111-6ea4-4075-9c46-2089c55b9bf6 · outbound
This paper cites Extracting insights from the shape of complex data using topology.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Extracting insights from the shape of complex data using topology
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:20.437716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a2c783fa-d783-4c95-9c7e-add819b982b2 · outbound
This paper cites Python mapper: An open-source toolchain for data exploration, analysis and visualization.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Python mapper: An open-source toolchain for data exploration, analysis and visualization
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:20.276911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6aec7187-1a0a-450c-9e9e-edc8dc5f2c6f · outbound
This paper cites an unresolved cited work.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Unresolved cited work
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-06T19:12:19.680899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9eb3db1f-15d8-4204-8574-d257d870dd25 · outbound
This paper cites giotto-tda: A topological data analysis toolkit for machine learning and data exploration, 2020.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes giotto-tda: A topological data analysis toolkit for machine learning and data exploration, 2020
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:20.145956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 98fdfea6-2a4b-4158-b38b-7f4a4a6fec8c · outbound
This paper cites tda-mapper, November 2024.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes tda-mapper, November 2024
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-06T19:12:19.577660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 61f87dc7-a784-4f0b-867b-154be43460be · outbound
This paper cites Certified mapper: Repeated testing for acyclicity and obstructions to the nerve lemma.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Certified mapper: Repeated testing for acyclicity and obstructions to the nerve lemma
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:19.989907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ef6b1159-8b12-4e75-af6e-f455c6737cce · outbound
This paper cites Any Graph is a Mapper Graph.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Any Graph is a Mapper Graph
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:12:19.351745Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64348d87-e837-460a-b22f-63dea8e583de · outbound
This paper cites Silhouettes: a graphical aid to the interpretation and validation of cluster analysis.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Silhouettes: a graphical aid to the interpretation and validation of cluster analysis
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:19.892436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3e890593-4c90-4415-9fc1-fdcb827c256d · outbound
This paper cites An efficient density based clustering algorithm for large databases.
$k$-means considered harmful: On arbitrary topological changes in Mapper complexes An efficient density based clustering algorithm for large databases
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:12:19.803771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.